lcm
Compute the least common multiple (lcm).
The least common multiple (lcm) of two non-zero integers a and b is the smallest positive integer that is divisible by both a and b. The lcm is also known as the lowest common multiple or smallest common multiple and finds common use in calculating the lowest common denominator (lcd).
Usage
var lcm = require( '@stdlib/math/base/special/lcm' );
lcm( a, b )
Computes the least common multiple (lcm).
var v = lcm( 48, 18 );
// returns 144
If either a or b is 0, the function returns 0.
var v = lcm( 0, 0 );
// returns 0
v = lcm( 2, 0 );
// returns 0
v = lcm( 0, 3 );
// returns 0
Both a and b must have integer values; otherwise, the function returns NaN.
var v = lcm( 3.14, 18 );
// returns NaN
v = lcm( 48, 3.14 );
// returns NaN
v = lcm( NaN, 18 );
// returns NaN
v = lcm( 48, NaN );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var lcm = require( '@stdlib/math/base/special/lcm' );
var a;
var b;
var v;
var i;
for ( i = 0; i < 100; i++ ) {
a = round( randu()*50 );
b = round( randu()*50 );
v = lcm( a, b );
console.log( 'lcm(%d,%d) = %d', a, b, v );
}
C APIs
Usage
#include "stdlib/math/base/special/lcm.h"
stdlib_base_lcm( a, b )
Computes the least common multiple (lcm).
double v = stdlib_base_lcm( 48.0, 18.0 );
// returns 144.0
The function accepts the following arguments:
- a:
[in] doubleinput value. - b:
[in] doubleinput value.
double stdlib_base_lcm( const double a, const double b );
Examples
#include "stdlib/math/base/special/lcm.h"
#include <stdio.h>
int main( void ) {
const double a[] = { 24.0, 32.0, 48.0, 116.0, 33.0 };
const double b[] = { 12.0, 6.0, 15.0, 52.0, 22.0 };
double out;
int i;
for ( i = 0; i < 5; i++ ) {
out = stdlib_base_lcm( a[ i ], b[ i ] );
printf( "lcm(%lf, %lf) = %lf\n", a[ i ], b[ i ], out );
}
}